Expressions in component form for the position vectors having the polar coordinates are:
a) -12 cos(40)i + 12sin(40) j = -9.19i + 7.71j
b) 3cos(40) i + 3 sin(40) j = 2.29i + 1.92j
c) -24cos(48)i - 24sin(48) j = -16.059i - 17.83j
Polar coordinates can be found in :Use one or more of the following equations: cos=xr, sin=yr, tan=yx, and r=x2+y2 to convert rectangular coordinates to polar coordinates.
What exactly are polar coordinates?The polar coordinate system is indeed a two-dimensional coordinate system in which the distance from a reference point and the angle from a reference direction are used to determine each point's location on a plane. The polar axis is the ray emanating from the pole inside the reference direction. The pole is the point of reference.
According to the Given information:Let the +x and +y represent, respectively, the unit vectors represented by I and j.
(a) 12.6 m, 130° counterclockwise from the +x axis [tex]\overrightarrow{\mathrm{R}}[/tex]= m.
-12 cos(40)i + 12sin(40) j
= -9.19i + 7.71j
(b) 3.60 cm, 70.0° counterclockwise from the +x axis [tex]\overrightarrow{\mathrm{R}}[/tex]= cm.
3cos(40) i + 3 sin(40) j
= 2.29i + 1.92j
(c) 24.0 in., 206° counterclockwise from the +x axis [tex]\overrightarrow{\mathrm{R}}[/tex]= in.
-24cos(48)i - 24sin(48) j
= -16.059i - 17.83j
To know more about polar coordinates visit:
https://brainly.com/question/11657509
#SPJ4
I understand that the question you are looking for is:
Obtain expressions in component form for the position vectors having the following polar coordinates.
(a) 12.6 m, 130° counterclockwise from the +x axis
[tex]\overrightarrow{\mathrm{R}}[/tex]= m
(b) 3.60 cm, 70.0° counterclockwise from the +x axis
[tex]\overrightarrow{\mathrm{R}}[/tex]= cm
(c) 24.0 in., 206° counterclockwise from the +x axis
[tex]\overrightarrow{\mathrm{R}}[/tex]= in.
T(x) = -x
P(x) = 10x + 2
What is the value of P(T(3)) - T(P(3))?
Answer:
p(-x)(3)-T(10x+2)(3)
P(-3x)-T(30x+6)
Find the measures of the interior angles of the triangle
please help
Answer: x = 88 degrees
Step-by-step explanation:
The angles of a triangle add up to 180 degrees.
So
48 + x + (x - 44) = 180
48 + 2x - 44 = 180
2x + 4 = 180
2x = 176
x = 88
Angle B = 88 degrees
Angle C = 44 degrees
PLEASE HELPP
Subject: Trigonometry
Answer:
51.3
Step-by-step explanation:
[tex]\tan y=10/8 \\ \\ y=\arctan(10/8) \\ \\ \approx 51.3^{\circ}[/tex]
Answer:
45
Step-by-step explanation:
PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT
Answer:
.7456
Step-by-step explanation:
The question is asking for the area under the curve from 1 to 2 ....see diagram.....this is approx .75
Write the equation of the line in fully simplified slope-intercept form.
The equation of the line in fully simplified slope-intercept form is y = -x - 8.
How to find the equation of the line?It is assumed that a line in the graph will pass through some points on the x and y-axes.
We must determine the line's fully simplified intercept.
we know the standard form of a line that is
y = mx + b
here, m is a slope and b is the constant
On the graph, there are the y-intercept (0,-8) and the x-intercept (-8,0).
The slope of the line passing through these points is:
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ [/tex]
[tex]slope = \frac{ 8 - 0}{ 0 - 8} [/tex]
slope = 8/(-8)
slope = -1
then find the value of b
if x = 0 y = -8 then
y = mx +b
-8 = -1(0) + b
-8 = b
the value of b is -8
After inserting the values for m and c, the line's equation will be.
y = - x - 8
Hence y = -x - 8 is the equation of the line in fully simplified slope-intercept form.
Learn more about general equation of line from here:
https://brainly.com/question/4227212
#SPJ9
Divide £800 in the ratio 6 : 1 : 3
Answer:
6: 480
1: 80
3: 240
I hope this is what you meant, and I hope I was able to help you!
Machine A makes 12.75 ounces of popcorn in 3 minutes. Machine B makes 18 ounces of popcorn in 4 minutes.
If each machine makes popcorn for 10 minutes, will there be enough popcorn for eight 9-ounce bags? Explain.
A.
Yes; Machine A and Machine B make 77.5 ounces in 10 minutes. 77.5 > 72, so there will be enough popcorn.
B.
Yes; Machine A and Machine B make 87.5 ounces in 10 minutes. 87.5 > 72, so there will be enough popcorn.
C.
No; Machine A and Machine B make 67.5 ounces in 10 minutes. 67.5 < 72, so there will not be enough popcorn.
D.
No; Machine A and Machine B make 30.75 ounces in 10 minutes. 30.75 < 72, so there will not be enough popcorn.
Answer:
C
Step-by-step explanation:
machine a makes 4.25 ounces per minute and B makes 4.5 ounces per minute.
what bigger 3/5 or 0.85
Answer:
0.85 is bigger
Step-by-step explanation:
To compare fractions you need to bring them to the same format.
1) Convert 3/5 to decimal:
3/5 = 30/50 = 60/100 = 0.60Compare:
0.60 < 0.85 as 60 < 852) Convert 0.85 to fraction:
0.85 = 85/100 = 17/20Bring 3/5 to the same denominator:
3/5 = (3*4)/(5*4) = 12/20Compare:
12/20 < 17/20 as 12 < 17 (comparing the numerators)Solve the inequality for .x.
-1/
6
x+4> −3x −8
Simplify your answer as much as possible
Answer:
x>-3
Step-by-step explanation:
collect like terms by changing the signs ..
x+4>-3x-8:to: x+3x>-8-4
Hence find the value of x
:4x>-12
4x/4 >-12/4
x>-4
Create a data set of 9 numbers that has a mean of 10 and a maximum of 15
Other answers are possible.
=========================================================
Explanation:
Let's say 10 is the median, and we'll have four values above it and four below. This gives 4+1+4 = 9 total items. One such example could be {6,7,8,9,10,11,12,13,14}. This is the set of whole numbers from 6 to 14 inclusive.
Due to the symmetry of that list, the mean = median = 10
The only problem is the max is 14, when we want it to be 15. We can fix this by adding 1 to each of the upper four values {11,12,13,14} to get {12,13,14,15}.
To balance things out, subtract 1 from each of the lower four values. So we go from {6,7,8,9} to {5,6,7,8}. This balancing is to keep the mean the same at 10.
Therefore, the set {6,7,8,9,10,11,12,13,14} becomes {5,6,7,8,10,12,13,14,15} which is one possible answer.
There are infinitely many other possible answers. The data set does not have to be symmetric like this.
2.1−2.7 on a number line
Step-by-step explanation:
2.1
2.2
2.3
2.4
2.5
2.6
2.7
i don't know if thats what you were asking for but yea
Help on question one and two pls
1.5 doller = 100* $ 1.5 = 150 peniess
After 50 minutes = 20 gallons of water
Solution :
Pennies :
The dollar is the United States' 100-cent coin. It takes 100 pennies to equal a dollar
1. Girl deposit 5 pennies for each day
which means after 10 days = 50 pennies
Her sister gave her 3 pennies = 53 pennies total she has
To make the $1.50 into her piggy beg
She needs how many pinnies to do so.
1 doller = 100 pennies
1.5 doller = 100* $ 1.5 = 150 peniess
2.
Gallons :
A gallon of water by definition is 128 fluid ounces in the United States. Water bottles can vary in size, but the total number of bottles making up 128 ounces can fit in a gallon. For example, if the water bottle is 16 ounces in size, then 8 of these make up a gallon.
pool capacity = 1500 gallons of water
then
every 5 minutes = 2 gallons of water
then,
after 50 minutes = 2*10 gallons of water
= 20 gallons of water
After 50 minutes = 20 gallons of water
More details :brainly.com/question/2087528
#SPJ9
please help, I suck at math and I cant play no games til I finish everything..sad.
Answer:
true;the expression s are the same for all values of the variables
b) Harri hires a pedalo for 45 minutes.
He takes the pedalo out at 2:45 pm.
At what time must he return the pedalo?
Answer:
He returns the pedalo after 3.00 pm
k+1
2 =8
Find the value of k.
Answer:
The Answer is K = -4Step-by-step explanation:
First we Need to write the Equation as It is
K + 12 = 8
Then we keep the Variable which is K in the right of the equal to and move the rest to the left.
K = 8 - 12 ( Note that when moving a number to the other side, the sign will
change)
Then Do 8 - 12 or -12 + 8
The answer will come
K = -4
Hope you Are clear
Pls Mark BrainliestIn what situation would a geometric model be better than a binomial model
Answer:
a geometric model shows the lay out of places like earth it tells us where our best water sources are.
This scale drawing of a rectangular rug
has dimensions 8 inches by 5 inches.
The actual rug is measure with a scale
factor of 4:1.
8 in
5 in
x ft
y ft.
S Enter the value of x and y for the actual rug width.
X =
y =
x would be 20 inches and y would be 32 inches.
the girls group rented 2 canoes and 3 inner tubes for a total cost of $80. the boys group rented 1 canoe and 7 inner tubes for a total cost of $95. wh
The cost of the one canoe is $25.
According to the statement
We have to find that the cost of the one canoe.
So, For this purpose, we know that the
The cost function will be accustomed find the common cost, which is that the average amount of cash it costs to provide a unit.
From the given information:
The girls group rented 2 canoes and three inner tubes for a complete cost of $80. The boys group rented 1 canoe and seven inner tubes for a complete cost of $95.
Then
Let c is that the cost of renting a canoe and t is that the cost of renting inner tubes.
For the ladies,
2c + 3t = 80
For the boys,
c + 7t = 95
Solving the system of equations, multiply the second equation by 2 and subtract them.
2c + 3t = 80
2c + 14t = 190
11t = 110
t = 10
Now,
Substitute t to either equations,
c = 95 - 7t
c = 95 - 7(10)
c = 25
So, The cost of the one canoe is $25.
Learn more about cost function here
https://brainly.com/question/25109150
Disclaimer: This question was incomplete. Please find the full content below.
Question:
The girls group rented 2 canoes and 3 inner tubes for a total cost of $80. The boys group rented 1 canoe and 7 inner tubes for a total cost of $95. What is the cost to rent 1 canoe?
#SPJ4
HELP ASAP
Find E, the midpoint of RD if R (4,-5) and D (2,3)
Answer:
(3, - 1 )
Step-by-step explanation:
given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here (x₁, y₁ ) = R (4, - 5 ) and (x₂, y₂ ) = D (2, 3 )
midpoint = ( [tex]\frac{4+2}{2}[/tex] , [tex]\frac{-5+3}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex] , [tex]\frac{-2}{2}[/tex] ) = (3, - 1 )
How long will it take you to ski a distance of 36 miles at the speed of 5 miles per 45 minutes
To ski a distance of 36 miles at the speed of 5 miles per 45 minutes, will take 324 min
The formula and procedure we will use to solve this exercise is:
t = x/v
Where:
x = distancet = timev = velocityInformation about the problem:
v = 5 miles per 45 minutesx = 36 milest = ?Calculating the velocity we have:
v = x/t
v= 5 miles/45 min
v = 0.111 miles/ min
Applying the time formula from the uniformly rectilinear motion (URM), we have:
t = x/v
t = 36 miles/0.111 miles/ min
t = 324 min
What is velocity?It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).
Learn more about velocity at: brainly.com/question/80295?source=archive
#SPJ4
A= 89cm root 2 square
Considering the given area of the square, it is found that it's side length is an irrational number.
What is the missing information?This problem is incomplete, but researching it on a search engine, it asks if the side length of the square of area 89 cm² is rational or irrational.
What is the formula for the area of a square?
The area of an square of side length s is given by s squared, as follows:
A = s².
In this problem, the area is of 89 cm², hence:
s² = 89.
s = sqrt(89).
The square root of 89 is a non-exact root, hence it cannot be represented by fraction and is an irrational number.
More can be learned about the area of a square at https://brainly.com/question/10489198
#SPJ1
Given y =
2x+1/4x-3
•Solve for x.
•evaluate x when y = 1
Answer:
Solve for x:
x= 1/ 2 (2y-1)+ 3y/ 2 (2y-1)
Evaluate: x= 2
Step-by-step explanation:
A. 2z-1+3z=0
B. 5z-1=0
1) How can we get Equation B from Equation A?
Choose 1 answer
Add/subtract the same quantity to/from both sides.
Add/subtract a quantity to/from only one side.
Rewrite one side for both) by combining like terms.
Rewrite one side for both) using the distributive property.
2) Based on the previous answer, are the equations equivalent? In other words, do they have the
same solution?
Choose 1 answer:
Yes
No
Answer:
1.) like terms and 2.) since all you did was combine like terms you didn't change the value, it's the same as before just "fixed" so yes
For each of the following functions, evaluate: f(-4), f(-2), f(0), f(2), and f(4)
17.)f(x)=3x-7
19.) ƒ(x)=−2x²+5x+1
Of 6.5 hectoliters of fuel, the private spilled 350 milliliters. how many liters did the private spill?
The private spilled 0.35 litres of fuel
How to calculate the amount of litres spilled ?The first step is to convert 6.5 hectolitres to litres
= 6.5 × 100
= 650 litres
Next is to convert millilitres to litres
= 350/1000
= 0.35 litres
Hence the number of litres spilled is 0.35 litres
Read more here
https://brainly.com/question/18239674?referrer=searchResults
#SPJ1
Ari has a total of 22 coins consisting of pennies and nickels. The total value of the coins is $0.54 Which equation can be used to find the number of pennies Ari has?
A student states that a triangle can be formed with side lengths 3 in, 5 in, and 9 in. is the student correct? why, or why not? yes, because 3 5 < 9 yes, because 3 9 > 5 no, because 3 9 > 5 no, because 3 5 < 9
A student is not correct when he stated that a triangle can be formed with side lengths 3 in, 5 in, and 9 in because 3 + 5 < 9.
A triangle is a polygon with three sides and three vertices.
To know if a set of numbers is a valid measure of the sides of a triangle, it must follow the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side, such that a + b > c, a + c > b, and b + c > a.
let a = 3, b = 5, and c = 9
a + b > c : 3 + 5 > 9 8 > 9 False
a + c > b : 3 + 9 > 5 12 > 5 True
b + c > a : 5 + 9 > 3 14 > 3 True
If at least one of these statements does not hold true, the measurements can't be the sides of a triangle.
Learn more about triangles based on side lengths here: brainly.com/question/13619935
#SPJ4
Find the value of y+12 when y=7?
Answer:
19
Step-by-step explanation:
When y = 7
Replace 7 with y.
[tex]7 + 12 = 19[/tex]
If this answer helped you, give this answer a heart, rate it and if you could then please mark it brainliest. Thanks!
What are the angle measures of the triangle?
Answer: 30, 60, 90 triangle ==> Option 3
Step-by-step explanation:
Lets say Angle A is the angle opposing the line of a triangle that has the length of 6. Lets say Angle B is the angle opposing the line of the same triangle that has the length of [tex]6\sqrt{3}[/tex].
sin A=6/12=1/2
sin A=30 degrees.
sin B=[tex]\frac{6\sqrt{3}}{12}[/tex]=[tex]\frac{\sqrt{3}}{2}[/tex]
sin B=60 degrees.
Hence, triangle is 30, 60, 90 triangle ==> Option 3
Find the product for each of the following and write your answer in proper scientific notation.
1) (6 x 10^-8) x (4 x 10^-4)
2) (7 x 10^6) x (8 x 10^5)
3) 0.000 000 000 05 x 0.003
4) (3 x 10^-8) x (7 x 10^6)
Answer:
1. 2.4*10^-11
2. 5.6*10^12
3. 1.5*10^-13
4. 2.1*10^-1
Step-by-step explanation:
1) (6 x 10^-8) x (4 x 10^-4)=
6*4*10^-8 *10^-4=
24*10^(-8-4)=
24*10^-12=
2.4*10^1 *10^-12=2.4*10^-11
2) (7 x 10^6) x (8 x 10^5)=
7*8*10^6 *10^5=
56*10^11=
5.6*10^1 *10^11=5.6*10^12
3) 0.000 000 000 05 x 0.003=
5*10^-11 *3*10^-3=
5*3*10^-11 *10^-3=
15*10^-14=1.5*10^-13
4) (3 x 10^-8) x (7 x 10^6)=
3*7*10^-8 *10^6=
21*10^(-8+6)=
21*10^-2=2.1*10^-1